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On Consistent Kinetic Mixing and the Higgs Low-Energy Theorems

2023/03/30 by Patrick Foldenauer, Foldenauer, Patrick
Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2303.17433

openalex publication_date 2023/03/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

A popular class of extensions of the Standard Model (SM) are models of a new Abelian gauge boson X, called dark or hidden photon, that kinetically mixes with the SM photon. We revisit the matching procedure of kinetic mixing terms in the electroweak symmetric phase to the ones in the broken phase. Our central finding is that in order to obtain the correct matching prescription one has to take into account mixing of the hidden photon with the neutral component of the weak SU(2)L bosons. This mixing is generated by a dimension-six operator and, in theories where SU(2)L multiplets are charged under the novel Abelian gauge group, is necessarily induced at the one-loop level. We illustrate this matching procedure for the loop-generated kinetic mixing in U(1)Lμ-Lτ. Furthermore, we show how to obtain general expressions for the Higgs decay amplitudes to two neutral vector bosons from the vacuum polarisation amplitudes via the low-energy theorems. As an application, we derive general expression for the branching ratios of the decays h→γX and h→ XX in U(1)B-L.

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